Question

cost $0tell whether the ratios form a proportion. (section 5.2)5. \\(\frac{1}{8}, \frac{4}{32}\\)6. \\(\frac{2}{3}, \frac{10}{30}\\)7. \\(\frac{7}{4}, \frac{28}{16}\\)proportion. (section 5.2)

Explanation:

Problem 5: $\boldsymbol{\frac{1}{8}, \frac{4}{32}}$

Step1: Simplify $\frac{4}{32}$

Divide numerator and denominator by 4: $\frac{4\div4}{32\div4} = \frac{1}{8}$.

Step2: Compare with $\frac{1}{8}$

Both ratios simplify to $\frac{1}{8}$, so they are equal.

Step1: Simplify $\frac{10}{30}$

Divide numerator and denominator by 10: $\frac{10\div10}{30\div10} = \frac{1}{3}$.

Step2: Compare with $\frac{2}{3}$

$\frac{1}{3}
eq \frac{2}{3}$, so the ratios are not equal.

Step1: Simplify $\frac{28}{16}$

Divide numerator and denominator by 4: $\frac{28\div4}{16\div4} = \frac{7}{4}$.

Step2: Compare with $\frac{7}{4}$

Both ratios simplify to $\frac{7}{4}$, so they are equal.

Answer:

Yes

Problem 6: $\boldsymbol{\frac{2}{3}, \frac{10}{30}}$